Find the value of x, y, and z. (see picture)

The equation that could be used to find x, the number of bikes the store had originally, is (x-94) = 0.

According to the question,

We have the following details:

Bill has sold 36 bikes and is left with 58 bikes more.

Now, the number of bikes the store had originally is given to be x.

So, we have:

x = Number of bikes sold + Number of bikes left

x = 36+58

x = 94

x-94 = 0 (94 was positive on the right hand side. So, it is negative on the left hand side.)

Hence, the equation that could be used to find number of original bikes in Bill's store is x-94 = 0.

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The 38th term of the sequence is 63

The first step is to write out the parameters

The first term (a) = 211

The common difference (d) = 207 - 211

= -4

The 38th term of the sequence can be calculated as follows

a₃₈ = a + (n-1)d

a₃₈ = 211 + (38-1)(-4)

a₃₈ = 211 + 37(-4)

a₃₈ = 211 - 148

a₃₈ = 63

Hence the 38th  term is 63

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SOLUTION

The given equatiion is:

To be divided by x-1

set the expression to zero:

Substitute x=1 into the polynomial:

This gives:

Therefore the remainder is -14.

The inequality that represents the velocity of an object that has mass of 30 Kg and creates a momentum of at least 15 Kg(m/s) is 15 ≥ 30×v  .

The relation between the mass(m) of an object with momentum(p) and velocity(v)  is given by the equation

p=m × v .

In the question,

it is given that

the mass of the object = 30 Kg

the momentum required is at least 15 Kg(m/s).

let the velocity of the object  " v " .

Substituting values in the formula ,

we get ,

15 = 30×v

the word at least in inequality is represented by " ≥ " .

So , the inequality becomes

15 ≥ 30×v

Therefore , the inequality that represents the velocity of an object that has mass of 30 Kg and creates a momentum of at least 15 Kg(m/s) is 15 ≥ 30×v .

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The total surface area of the prism is 217 square inches.

In geometry, a prism is a polyhedron with n sides made of polygons, a second base that is a translation of the first base, and n additional faces that must all be parallelograms and connect the effective distribution of the two bases.

The base is a square with area = 49 square inches

Length of 1 side = √49 = 7 inches

Area of the triangular sides is given by the formula (1/2) × base × height

Area of each side

= (1/2) × base × height

= (1/2) × 7 × 12

= 42 square inches.

Total surface area

= 42 × 4 + 49

=217 square inches  

Therefore the total surface area is 217 square inches  

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Answer:3576m

Step-by-step explanation:

3250+326=3576

The ratio of hexagons to triangles is 2/1.

Given:

In the figure,

Number of hexagons = 4

Number of triangles = 2

We have to determine the ratio of hexagons to triangles.

Ratio = Number of hexagons/Number of triangles

Ratio = 4/2

Reducing it we get,

Ratio = 2/1

Therefore, the required ratio is 2/1.

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Answer:

its true because standard deviation is the only way out to find any solution

In triangle XYZ, angle Y is right and sin X =5/13 the correct trigonometry ratios are

Information given in the question include

In triangle XYZ

angle Y

sin X = 5 / 13

A right angle triangle has three sides namely Adjacent, Opposite and Hypotenuse

from Sin X = opposite = Hypotenuse = 5 / 13

we have that

opposite = 5

Hypotenuse = 13

Using Pythagoras theorem

Hypotenuse^2 = opposite^2 + Adjacent^2

13^2 = 5^2 + Adjacent62

Adjacent = √(169 - 25)

Adjacent = 12

The correct options are tan Z = 12/5 and cos Z = 5 / 13

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When asked which season they preferred, just 3/10 of the students selected either spring or summer. 2/5 fraction went with summer if 1/10 chose spring.

Given that,

When asked which season they preferred, just 3/10 of the students selected either spring or summer.

We have to find what fraction went with summer if 1/10 chose spring.

To find the fraction we have to add the students selected in spring or summer.

3/10+1/10

Denominator are equal numerator can add

(3+1)/10

By adding

4/10

By doing the division

2/5

Therefore, the fraction is 2/5.

2/5 fraction went with summer if 1/10 chose spring.

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The slope of the given line that runs through the points are:

1. Defined

2. Defined

3. undefined.

An undefined slope of a line can be described as the slope of a vertical line that has no run but only rise. That is, the x-coordinates do not change even though the y-coordinates of the line are changing.

Thus, the change in x-coordinates is always 0.

Slope = change in y / change in x.

a. (5 , − 4) and (0 , 1):

Slope = (-4 - 1)/(5 - 0)

Slope = -5/5 = -1 [the slope is defined]

b. (−1 , 8) and (7 , 10):

Slope = (10 - 8)/(7 -(-1))

Slope = 2/8

Slope = 1/4

c. (-4, 12) and (-4, 5)

Slope = (12 - 5)/(-4 -(-4))

Slope = 7/0 [cannot divide, therefore, the slope is undefined]

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Answer:

-2

Step-by-step explanation:

f(-2) = -(-2) - 4

= 2-4

= -2

The decimal number 3.16 in the form of the simplest fraction is 79/25.

The portion or part of the complete item is represented by a fraction. It stands for the equal components of the whole. The denominator and numerator are the two components of a fraction. The top number is referred to as the numerator, and the bottom number is referred to as the denominator.

Consider the decimal number,

Let x = 3.16

Then,

x = 3.16 = 316/100

The fraction then can be simplified as,

x = ( 158 × 2)/ (50 × 2)

x = 158/50

x = ( 79 × 2)/ ( 25 × 2 )

x = 79/25

Hence, the number 3.16 in the simplest fraction is 79/25.

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The volume of cone is 261.79 ft³

Solution:

To solve Volume of cone we need radius and height of cone,

Base Radius of cone = 5 ft

Height of cone = 10 ft

Formula for Volume of cone V = π r² h/3

So,

The radius of cone is 5ft and

height of cone is 10ft ,

Volume V= π × 5ft² × 10ft/3

                = 261.79939 ft³

Equation :

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[tex](\stackrel{x_1}{-15}~,~\stackrel{y_1}{70})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{10}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{10}-\stackrel{y1}{70}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{(-15)}}} \implies \cfrac{-60}{5 +15} \implies \cfrac{ -60 }{ 20 } \implies - 3[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{70}=\stackrel{m}{- 3}(x-\stackrel{x_1}{(-15)}) \implies y -70= -3 (x +15) \\\\\\ y - 70 = -3x - 45\implies {\Large \begin{array}{llll} y = -3x+25 \end{array}}[/tex]

Since ∠GFE is a right triangle, we can conclude:

the sum of the internal angles of a triangle is 180, therefore, for the triangle GHF:

Finally, for the triangle GEF:

Given:

Answer: 0.8

Step-by-step explanation: 0.8 as a fraction is expressed as 4/5

hope this helps

Answer: 2/25 or 8/100.

Step-by-step explanation:

The mean absolute deviation of the amount  $39

What is Mean Absolute Deviation?

The average distance between each data value and the mean is known as the mean absolute deviation (MAD) of a data set. A measure of variance in a data set is the mean absolute deviation. We may determine how "spread out" the values in a data collection are by looking at the mean absolute deviation.

Given,

The amount she saved throughout the year

January         96

February       38

March            162

April               65

May                178

June               112

July                57

August           143

September    135

October         104

November     88

December     22

The mean of the data will be = 96+38+162+65+178+112+57+143+135+104+88+22/12

= 1200/12

=100

The mean would be 100

|data - mean value| = 96-100 = 4

38-100 = 62

162-100 = 62

65-100 = 35

178-100 = 78

112-100 = 12

57-100 = 43

143-100 = 43

135-100= 35

104-100 = 4

88-100 = 12

22-100 = 78

Now, sum of |data - mean values| = 468

The mean absolute deviation:

                                       =  sum of |data - mean values| / number of values

                                       = 468 / 12

                                       = 39

Hence, the mean absolute deviation of amounts she saved is $39

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Given the function:

You know that "P" is the profit for a certain "n" commodity (in units).

You need to find the value of "n" when:

In order to find it, you can follow these steps:

1. Substitute this value into the function:

Then:

2. Divide both sides of the equation by -25:

3. Factor the equation by finding two numbers whose Sum is -12 and whose Product is -45. These are 3 and -15, because:

Then:

4. Set up these two equations:

5. Solving form "n" from each equation, you get:

Since the number of units cannot be negative, the answer is:

Answer:

A

Step-by-step explanation:

I just need points bro, Bob bob bob bob bob bob bob bob bob

Answer:

b=-144

Step-by-step explanation:

b/24=-6

cross multiplication

b=24×-6

=-144

Explanation

given

Step 1

a) (f+g) (x)

here we need to find a new function ( f+g) (x), this is the sum of the functions f and g, so to find it just add g(x) to f(x)

hence

so

Step 2

now, we have to evaluate that function for x= 9

so

so

I hope this helps you

Answer 2xy3

Step-by-step explanation: you basic combine 2(x+3) to get 2x + 6

The most appropriate choice for distance formula will be given by Length of AC = [tex]\sqrt{72} = 8.5 units[/tex]

What is distance?
Distance is a measurement of how far apart two objects or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in everyday language (e.g. "two counties over").

What is distance formula?

Distance formula is used to find the distance between two points.

Let A and B be two points with coordinate [tex](x_1, y_1)[/tex]  and [tex](x_2, y_2)[/tex] respectively

Distance between A and B = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]

Here,

Coordinate of A = (1, 1)

Coordinate of E = (4, 4)

Coordinate of C = (7, 7)

Length of AE =

[tex]\sqrt{(4-1)^2 + (4-1)^2}\\\sqrt{9 + 9}\\\sqrt{18}\\3\sqrt{2} units[/tex]

Length of EC =

[tex]\sqrt{(7-4)^2 + (7-4)^2}\\\sqrt{9 + 9}\\\sqrt{18}\\3\sqrt{2} units[/tex]

Length of AC = Length of AE + Length of EC

= [tex]3\sqrt{2} + 3\sqrt{2} = 6\sqrt{2} units[/tex] =[tex]\sqrt{72} units = 8.5 units[/tex]

Fourth option is correct

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The probabilities for the ace cards are 0.1433, 0.0045, 0.0905, 0.0482.

what is a blackjack card game?

It derives from the Twenty-One line of gambling banking games and utilises 52-card decks.

Face cards and number 10: 16 cards have point value 10 Ace cards:

4 cards have point value 1 or 11 total number of cards =

Part a)

P(Ace or 10 point card has following cases)

case l: both are Ace cards = (4/52)*3/51 =

0.0045

Case II: both are 10 point cards = (16/52)*(15/51) =

0.0905

Case III: first card Ace, second card 10 point = (4/52)*(16/51 0.0241 Case IV: first card 10 pt, second card Ace: = (16/52)"(4/51) = 0.0241

Total = 0.1433

Part b) P(both cards are Ace) = (4/52)*(3/51) = 0.0045

Partc) P(both cards have point value 10) = (16/52) * (15/51) = 0.0905

Part d) P(Ace and 10 point) = 0.0241+0.0241 = 0.0482

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The line t has a slope of the value of -3

The lines are given as

Line s and line t

The slope of line s is given as

Slope of line s = 1/3

Also, from the question;

We understand that line s and line t are perpendicular lines

The condition for perpendicular lines is represented as

The product of the slopes of the lines = -1

This means that

Slope of line s * Slope of line t = -1

This gives

1/3 * Slope of line t = -1

Divide both sides by 1/4

Slope of line t = -3

Hence, the slope is -3

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